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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 6 · 40 questions
TalentJR

How to solve it (Balance): Bring the x terms to one side and the plain numbers to the other (change the sign when you move a term across). Divide both sides by the number in front of x (or multiply if x is divided). Check by putting your answer back into the equation.

NameDateTime takenScore ___ / 40
  1. 1.If x/6 + 3 = 11, what is x? (a) 84 (b) 8 (c) 63 (d) 48
  2. 2.If x/3 + 2 = 9, what is x? (a) 33 (b) 7 (c) 21 (d) 25
  3. 3.If 3x + 26 = 68, what is x? (a) 42 (b) 14 (c) 15 (d) 13
  4. 4.If x/4 + 3 = 5, what is x? (a) 2 (b) 17 (c) 8 (d) 32
  5. 5.If 5x + 13 = 2x + 16, what is x? (a) 4 (b) 2 (c) 1 (d) 3
  6. 6.If 9x + 1 = x + 97, what is x? (a) 11 (b) 13 (c) 14 (d) 12
  7. 7.If 9x + 14 = 8x + 18, what is x? (a) 32 (b) 4 (c) 5 (d) 6
  8. 8.If 9x − 12 = 33, what is x? (a) 6 (b) 45 (c) 5 (d) 4
  9. 9.If 3x + 17 = 26, what is x? (a) 4 (b) 3 (c) 9 (d) 2
  10. 10.If 9x + 22 = 49, what is x? (a) 2 (b) 3 (c) 27 (d) 4
  11. 11.If 2x + 29 = 55, what is x? (a) 14 (b) 13 (c) 26 (d) 42
  12. 12.If x/6 + 10 = 12, what is x? (a) 132 (b) 2 (c) 62 (d) 12
  13. 13.If 3x − 5 = 7, what is x? (a) 3 (b) 12 (c) 5 (d) 4
  14. 14.If 5x + 1 = x + 17, what is x? (a) 3 (b) 6 (c) 5 (d) 4
  15. 15.If 8x − 69 = 3, what is x? (a) 72 (b) 8 (c) 9 (d) 10
  16. 16.If x/3 + 3 = 6, what is x? (a) 3 (b) 27 (c) 9 (d) 15
  17. 17.If 8x − 21 = 3, what is x? (a) 2 (b) 4 (c) 3 (d) 24
  18. 18.If 9x + 5 = 8x + 7, what is x? (a) 12 (b) 3 (c) 2 (d) 4
  19. 19.If 3x + 12 = 33, what is x? (a) 15 (b) 8 (c) 21 (d) 7
  20. 20.If 7x + 3 = 80, what is x? (a) 12 (b) 10 (c) 77 (d) 11
  21. 21.If 8x + 17 = 65, what is x? (a) 48 (b) 7 (c) 5 (d) 6
  22. 22.If 3x + 9 = x + 21, what is x? (a) 15 (b) 3 (c) 7 (d) 6
  23. 23.If x/4 + 7 = 14, what is x? (a) 28 (b) 7 (c) 49 (d) 84
  24. 24.If 5x − 54 = 11, what is x? (a) 14 (b) 13 (c) 65 (d) 12
  25. 25.If 8x + 18 = 7x + 26, what is x? (a) 9 (b) 10 (c) 44 (d) 8
  26. 26.If 4x + 1 = 3x + 9, what is x? (a) 10 (b) 9 (c) 7 (d) 8
  27. 27.If x/3 + 12 = 17, what is x? (a) 39 (b) 15 (c) 87 (d) 5
  28. 28.If 4x + 9 = 57, what is x? (a) 12 (b) 48 (c) 13 (d) 11
  29. 29.If 6x + 14 = 26, what is x? (a) 3 (b) 12 (c) 1 (d) 2
  30. 30.If x/2 + 7 = 17, what is x? (a) 20 (b) 10 (c) 27 (d) 48
  31. 31.If 5x + 4 = 2x + 10, what is x? (a) 1 (b) 2 (c) 3 (d) 4
  32. 32.If 3x − 14 = 1, what is x? (a) 4 (b) 5 (c) 6 (d) 15
  33. 33.If 9x + 27 = 153, what is x? (a) 15 (b) 14 (c) 20 (d) 126
  34. 34.If 7x + 18 = 116, what is x? (a) 98 (b) 13 (c) 15 (d) 14
  35. 35.If 4x + 16 = x + 40, what is x? (a) 9 (b) 10 (c) 8 (d) 7
  36. 36.If 3x − 7 = 8, what is x? (a) 15 (b) 5 (c) 4 (d) 6
  37. 37.If x/2 + 2 = 6, what is x? (a) 10 (b) 8 (c) 4 (d) 16
  38. 38.If 4x + 4 = 20, what is x? (a) 6 (b) 4 (c) 16 (d) 5
  39. 39.If x/6 + 13 = 19, what is x? (a) 6 (b) 192 (c) 101 (d) 36
  40. 40.If 4x + 23 = 75, what is x? (a) 13 (b) 12 (c) 14 (d) 52

Answer key

  1. 48
  2. 21
  3. 14
  4. 8
  5. 1
  6. 12
  7. 4
  8. 5
  9. 3
  10. 3
  11. 13
  12. 12
  13. 4
  14. 4
  15. 9
  16. 9
  17. 3
  18. 2
  19. 7
  20. 11
  21. 6
  22. 6
  23. 28
  24. 13
  25. 8
  26. 8
  27. 15
  28. 12
  29. 2
  30. 20
  31. 2
  32. 5
  33. 14
  34. 14
  35. 8
  36. 5
  37. 8
  38. 4
  39. 36
  40. 13

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